Solving a Question on Abstract Algebra - Help Needed

[kateng33]

need a help can't seem to figure out this one

let 6 = (2,R)

a. Find c [1 1]
[1 0 ]
b. c [o 1]
[1 0]

c find 2(6)

 

[HallsofIvy]

need a help can't seem to figure out this one

let 6 = (2,R)

I have no idea what this means. "6" is a number. You can't "let" it be anything else!

a. Find c [1 1]
[1 0 ]

Okay, the matrix is
$$\begin{bmatrix}1 & 1 \\ 1 & 0\end{bmatrix}$$
but what does "c" mean? The column space? That is just the space spanned by the columns as vectors, <1 1> and <1 0> which is all of R². Surely, that is not what you mean. If it were "d" instead of "c", I might guess "determinant", which is normally abbreviated "det". That is, of course, -1.

b. c [o 1]
[1 0]

Now the matrix is
$$\begin{bmatrix}0 & 1 \\ 1 & 0\end{bmatrix}$$
but I still don't know what "c" means.

c find 2(6)

12? Surely that is not what you mean! Please explain your symbols.

 

[kateng33]

okay thanks